Top-level heading

Multi-lane vehicular flow models: the effects of lane changes on the traffic stability

Categoria
Seminari di Modellistica Differenziale Numerica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Aula esterna
on-line su ZOOM
Speaker

Matteo Piu, Sapienza, Università di Roma

This talk is devoted to the modeling and the stability of multi-lane traffic flow in the microscopic and macroscopic frameworks. First we present the study of a second order microscopic Follow-the-Leader Bando model in which we propose simple lane changing conditions. Afterwards we describe the derivation of a new first order macroscopic model which is obtained without postulating ad hoc micro-to-macro scalings. Further, we compute the equilibria for both models and we establish conditions for their stability. Finally we show some numerical examples that confirm the results of the theoretical analysis.